Writing Equations for Parallel and Perpendicular Lines

The video tutorial covers the concepts of finding the slope of a line, and how to write equations for parallel and perpendicular lines. It explains the point-slope formula and the characteristics of parallel and perpendicular slopes. The tutorial includes examples of converting equations to slope-intercept form and solving problems involving these concepts.

What is the slope in the equation y = mx + b?

• y

• b

• x

• m

If two lines are parallel, what can be said about their slopes?

• They are equal

• They are negative reciprocals

• They are perpendicular

• They are zero

Given the point (3, 4) and a slope of 2, what is the equation of the line?

• y - 4 = 2(x - 3)

• y - 2 = 4(x - 3)

• y - 3 = 2(x - 4)

• y - 4 = 3(x - 2)

How do you convert the equation X - 3y = 9 to slope-intercept form?

• y = 3x + 9

• y = -1/3x + 3

• y = 1/3x - 3

• y = -3x + 9

What is the slope of the line in the equation y = 1/3x - 3?

• 3

• 1/3

• -3

• -1/3

What is the opposite reciprocal of the slope 2?

• -2

• 2

• -1/2

• 1/2

Given the point (4, 3) and a perpendicular slope of 1/2, what is the equation of the line?

• y - 3 = 1/2(x - 4)

• y - 4 = 1/2(x - 3)

• y - 3 = 2(x - 4)

• y - 4 = 2(x - 3)

What is the slope of the line in the equation 5x + 3y = -21?

• -3/5

• -5/3

• 5/3

• 3/5

What is the perpendicular slope to -5/3?

• 3/5

• -3/5

• 5/3

• -5/3

Given the point (1, -2) and a perpendicular slope of 3/5, what is the equation of the line?

• y - 2 = 5/3(x + 1)

• y + 2 = 5/3(x - 1)

• y - 2 = 3/5(x + 1)

• y + 2 = 3/5(x - 1)